Jacob, a professional golfer, is playing on a golf tour. The next two stops are 6 centimeters apart on a map of the tour. The map uses a scale of 3 centimeters = 1 kilometer. What is the actual distance between the next two stops?

Respuesta :

Answer:

(1 km/3 cm)(6 cm) = 2 km

The actual distance between the next two stops is 2 kilometers.

Answer:

2 kilometers

Step-by-step explanation:

The given scale indicates that 3 centimeters on the map corresponds to 1 kilometer in reality.

If the two stops are 6 centimeters apart on the map, we can set up a proportion to find the actual distance (d):

[tex]\dfrac{3\;\text{cm}}{1\; \text{km}} = \dfrac{6\; \text{cm}}{d}[/tex]

Now, cross-multiply to solve for d:

[tex]3 \cdot d = 1 \cdot 6[/tex]

[tex]3d = 6[/tex]

[tex]d = \dfrac{6}{3}[/tex]

[tex]d = 2\; \text{km}[/tex]

Therefore, the actual distance between the next two stops is 2 kilometers.